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12105053133 = 3172127109937
BaseRepresentation
bin10110100011000010…
…00111001111001101
31011020121210102011020
423101201013033031
5144242343200013
65321101144353
7605655153045
oct132141071715
934217712136
1012105053133
115151a94648
122419b5b0b9
1311abb57344
1482b966725
154acac2623
hex2d18473cd

12105053133 has 24 divisors (see below), whose sum is σ = 17280494592. Its totient is φ = 7535453184.

The previous prime is 12105053131. The next prime is 12105053173. The reversal of 12105053133 is 33135050121.

12105053133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12105053133 - 21 = 12105053131 is a prime.

It is a super-2 number, since 2×121050531332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105053131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55141 + ... + 165077.

It is an arithmetic number, because the mean of its divisors is an integer number (720020608).

Almost surely, 212105053133 is an apocalyptic number.

It is an amenable number.

12105053133 is a deficient number, since it is larger than the sum of its proper divisors (5175441459).

12105053133 is a wasteful number, since it uses less digits than its factorization.

12105053133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110101 (or 110084 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The spelling of 12105053133 in words is "twelve billion, one hundred five million, fifty-three thousand, one hundred thirty-three".

Divisors: 1 3 17 51 127 289 381 867 2159 6477 36703 109937 110109 329811 1868929 5606787 13961999 31771793 41885997 95315379 237353983 712061949 4035017711 12105053133